2068913664 has 280 divisors, whose sum is σ = 6494151312. Its totient is φ = 656916480.

The previous prime is 2068913663. The next prime is 2068913677. The reversal of 2068913664 is 4663198602.

2068913664 is a `hidden beast` number, since 206 + 89 + 1 + 366 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2068913663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8584584 + ... + 8584824.

Almost surely, 2^2068913664 is an apocalyptic number.

2068913664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2068913664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247075656).

2068913664 is an abundant number, since it is smaller than the sum of its proper divisors (4425237648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2068913664 is an frugal number, since it uses more digits than its factorization.

2068913664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2068913664 is about 45485.3126184706. The cubic root of 2068913664 is about 1274.2289150779.

The spelling of 2068913664 in words is "two billion, sixty-eight million, nine hundred thirteen thousand, six hundred sixty-four".